ML20247H360

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App 11A, Core Residence Times, to CESSAR Sys 80+ Std Design
ML20247H360
Person / Time
Site: 05200002, 05000470
Issue date: 03/30/1989
From:
ABB COMBUSTION ENGINEERING NUCLEAR FUEL (FORMERLY
To:
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ML20247G537 List:
References
NUDOCS 8904040445
Download: ML20247H360 (6)


Text

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APPENDIX 11A CORE RESIDENCE TIMES I

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CESSAR 8!nincano,. (Sheet 1 of 1) o EFFECTIVE PAGE LISTING APPENDIX 11A Table of Contents P_ age Amendment i

Text Pace Amendment 11A-1 11A-2 11A-3 O

O Amendment E December 30, 1988

CESSAR !!nifico =

TABLE OF CONTENTS

-APPENDIX 11A Section Subiect Pace No.

1.0 DERIVATION OF CORE RESIDENCE 11A-1 l TIMES j i

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CESSAR !! Sinc m.,

O 1.0 DERIVATION OF CORE RESIDENCE TIMES The derivation of the core residence times for circulating crud as shown in Section 11.1.2 is as follows:

A. Circulating Crud:

The number of radioactive atoms (Nf ) in the crud film on in-core surfaces at any time is:

dN g dt *Ed- i 1"f (11A-1)

Solving for N g yields the following:

Ng =

(1 - e ^I #*8) atoms /g (11A-2) i Where: I f

4 is the activation rate for each isotope i (d/g-sec),

A is th decay constant for each isotope f (secs p), and t

res is the desired core residence time (seconds).

The number of radioactive atoms (N c ) released to the reactor coolant at any time is:

[DN=N f [ER] A c ~

("+0+A i) N c atoms /sec Solving for N c yields the following:

Nf (ER) A c "I" + 0 + A 1) t N

o" (a + B + A.) 1 (1 - e ) (11A-3) 2 Where: ER is the erosion rate (g/cm -sec),

A c is the core surface area (cm ),

o is the plateout rate (secs-1),

a llA-1

1 CESSAR E!i#icari:u I

(secs-1),

Oi p is the purification cleanup rate and A

y is the decay constant (secs-1),

Total amount of crud (M ) released to the reactor coolant  ;

any time is:

dM dt

=

[ER) A T -( + )M c (11A~4) where M c in ludes both radioactive and nonradioactive material.

Solving for M c yields:

l l M (1 ~ *

- (a + )t) grams (11A-5) c" )

Where: ER is the erosion rate (g/cm -sec),

1 A is the total system area (cm ),

T

~

a is the plateout rate (secs ~ ), and p is the purification cleanup rate (secs ~1).

The activity (Ag) of the crud released to the reactor coolant is:

AN fC A

1=M c , dps per gram of crud in reactor (11A-6) coolant substituting the values of N and M into the above expression and assuming 1.l is shall when compared to a and p, the activity of the crud is as follows:

A c

Ag=If (1 -e ~ i res) (0.06) dpm/mb-crud lu-7) where 0.06 is a constant changing dps/g-crud to dpm/mg-crud.

This activity (A. is also assumed to be the activity of the crud which plated) out on out-of-core surfaces.

Solving equation (11A-7) for t es yields quation (1) (See Section 11.1.2).

11A-2

CESSAR ninneuio B. Denosited Crud The activity (A ) of the deposited crud is 3

A =A gN g = Zy d (1:- e res).0.06 (11A-8)

Solving equation (11A-8) for't res yields. equation (2) . (See Section 11.1.2) 1 i

11A-3